Trapping of three-dimensional Holstein polarons by various impurities

Abstract

We study the bound states of a three-dimensional Holstein polaron near various kinds of single impurities, using the momentum average approximation. We show that the electron-phonon coupling is responsible for a strong renormalization of the impurity potential, resulting in an effective potential with significant retardation effects, which describes essential physics ignored by "instantaneous" approximations. The accuracy of our approximation is gauged by comparison with results from Diagrammatic Monte Carlo for the case of an impurity that modifies the on-site energy of the electron. We also discuss impurities that modify the local strength of the electron-phonon coupling, as well as isotope substitutions that change both the electron-phonon coupling and the phonon frequency, and contrast and highlight the difference between these cases.

13 pages, 11 figures; Accepted for publication in Phys Rev B

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Cited by in corpus (11)

• Localization of Large Polarons in the Disordered Holstein Model
• Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
• Properties and temperature evolution of the spectrum of localized quasi-particles interacting with polarization phonons in two models
• Exciton dissociation mediated by phonons in organic photovoltaics
• A perturbational study of the lifetime of a Holstein polaron in the presence of weak disorder
• Exact solution of electronic transport in semiconductors dominated by scattering on polaronic impurities
• Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature
• Renormalized spectrum of quasiparticle in limited number of states, strongly interacting with two-mode polarization phonons at $T=0$ K
• Generalized method of Feynman-Pines diagram technique in the theory of energy spectrum of two-level quasiparticle renormalized due to multi-phonon processes at cryogenic temperature
• Theory of dispersive optical phonons in resonant inelastic x-ray scattering experiments
• Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model